Geared toward undergraduates in the physical sciences and related fields, this text offers a very useful review of mathematical methods that students will employ throughout their education and beyond. A few more difficult topics, such as group theory and integral equations, are introduced with the intention of stimulating interest in these areas. The treatment is supplemented with problems and answers. AUTHOR: Geoffrey Stephenson (1927–2018) was Reader in the Department of Mathematics at the Imperial College of Science and Technology, London. He was the author of several mathematical texts, including the Dover books An Introduction to Matrices, Sets and Groups and Worked Examples in Mathematics for Scientists and Engineers.